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300. The diameter and the slant height of a cone are both 24 cm. Find the radius of the

largest sphere that can be placed inside the cone. (The sphere is therefore tangent to the
base of the cone.) The sphere occupies a certain percentage of the cone’s volume. First
estimate this percentage, then calculate it.

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1 answer
  1. To find the radius of the sphere, this article will help.

    https://math.stackexchange.com/questions/3079286/sphere-inscribed-in-a-cone

    The proportion shown gives the formula
    R = radius of cone
    h = height of cone
    r = radius of sphere

    √(R^2+h^2) / R = (h-r)/r

    Knowing r, you can easily get the volume.

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    oobleck

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